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Finding the Third Proportional to 369,456 and 796,602

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Solution

The third proportional to 369,456 and 796,602 is: 1,717,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,456 : 796,602 = 796,602 : x
  2. Step 2: Convert to fraction form
    369,456/796,602 = 796,602/x
  3. Step 3: Cross multiply
    369,456x = 796,602 × 796,602
  4. Step 4: Simplify right side
    369,456x = 634,574,746,404
  5. Step 5: Solve for x
    x = 634,574,746,404/369,456
  6. Step 6: Final answer
    x = 1,717,592.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.